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3.3. Questions and Tasks
3.3. Questions and Tasks
1. What are the proper units of K in equation CS)?
2. Change the values of R, A, Q and K in the model of Section 3.1. Make
one change at a time. What do changes in these parameters mean from
a biological or ecological perspective? Can you imagine the way your
model will run with the changes? How and why are the results different
than previous model runs?
3. Can you find a combination of initial conditions and parameter values
such that the oscillations in population dynamics do never settle down
to a steady state?
a) a) Wha What t w wo ou ul ld d be be the the p pr ro op pe er r units units in in w which hich this this carry carrying ing ca capaci pacit ty y i is s
measured? measured?
b) b) Sol Solve ve yo your ur mod mode el l a analy nalyticall tically y f for or the the steady steady st sta ate te and and c co om mp pa ar re e yo your ur
result results s aga agai inst nst t th he e numerically numerically der deri iv ved ed solu solut ti ion on t th hat at t the he c co om mp pu ut te er r
prov provid ide e s s. .
3.3. Questions and Tasks
3.3. Questions and Tasks
1. What are the proper units of K in equation CS)?
2. Change the values of R, A, Q and K in the model of Section 3.1. Make
one change at a time. What do changes in these parameters mean from
a biological or ecological perspective? Can you imagine the way your
model will run with the changes? How and why are the results different
than previous model runs?
3. Can you find a combination of initial conditions and parameter values
such that the oscillations in population dynamics do never settle down
to a steady state?
a) a) Wha What t w wo ou ul ld d be be the the p pr ro op pe er r units units in in w which hich this this carry carrying ing ca capaci pacit ty y i is s
measured? measured?
b) b) Sol Solve ve yo your ur mod mode el l a analy nalyticall tically y f for or the the steady steady st sta ate te and and c co om mp pa ar re e yo your ur
result results s aga agai inst nst t th he e numerically numerically der deri iv ved ed solu solut ti ion on t th hat at t the he c co om mp pu ut te er r
prov provid ide e s s. .
